Theoretical expressions for both the nonrelativistic and relativistic nuclear matrix elements for /3 transitions of arbitrary forbiddenness are derived by using the Nilsson model. The /3-decay operators are expressed in terms of irreducible spherical tensors. One-and two-particle intrinsic wave functions are used for odd-and even-mass nuclei, respectively. For even-mass nuclei, the results are found to be strongly dependent on the coupling of the two particles. The results are expected to be applicable to decays involving both intrinsic ground states and excited intrinsic states. The theoretical expressions are used to calculate matrixelement parameters for/? decays in Tm 170 and Re 186 . The theoretical values are compared with experimentally determined values of the Tm 170 and Re 186 parameters.
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